Round the fractions to the nearest whole number to find an estimate for 12 1/8 ÷ 3 4/5
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First, convert the mixed numbers to improper fractions.
12 1/8 = (12 * 8 + 1)/8 = 97/8
3 4/5 = (3 * 5 + 4)/5 = 19/5
Now, divide the numerators and denominators:
97/8 ÷ 19/5
To divide fractions, multiply the first fraction by the reciprocal of the second fraction:
(97/8) * (5/19)
Multiply the numerators and denominators:
(97 * 5)/(8 * 19) = 485/152
To find an estimate for this fraction, round it to the nearest whole number.
485/152 is approximately equal to 3.19
Therefore, 12 1/8 ÷ 3 4/5 is approximately equal to 3.